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3 years ago

BRAINLIESTT ASAP! PLEASE HELP ME :)

Mathematics

1 answer:

Mrac [35]3 years ago

4 0

<h3>Answer: 3 mph</h3>

====================================================

Work Shown:

c = speed of the current

Downstream:

$d = r*t\\\\2.4 = (21+c)*t\\\\t = \frac{2.4}{21+c}\\\\$

Upstream:

$d = r*t\\\\1.8 = (21-c)*t\\\\1.8 = (21-c)*\frac{2.4}{21+c}\\\\1.8(21+c) = 2.4(21-c)\\\\37.8+1.8c = 50.4-2.4c\\\\1.8c+2.4c = 50.4-37.8\\\\4.2c = 12.6\\\\c = \frac{12.6}{4.2}\\\\c = 3\\\\$

Speed of the current is 3 mph

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In 2003 a town’s population was 1431. By 2007 the population had grown to 2134. Assume the population is changing linearly.How m

sergiy2304 [10]

We will have the following:

First, we will have that the population change by:

$\Delta P=2134-1431\Rightarrow\Delta P=703$

So, the population changed by 703 people.

It took the follwoing number of years to change from 1431 to 2134:

$\Delta y=2007-2003\Rightarrow\Delta y=4$

So, it took 4 years to changes from 1431 to 2134.

$m=\frac{2134-1431}{2007-2003}\Rightarrow m=175.75$

The average population growth per year is of 175.75 people per year.

The population in 2000 would have been:

$P_{2000}=\frac{2000\cdot1431}{2003}\Rightarrow P_{2000}=1428.856715\ldots$

$\Rightarrow P_{2000}\approx1429$

So, the population in 2000 would have been approximately 1429 people.

We will have that the equation for the population would be:

$P=(\frac{2134-1431}{2007-2003})t+1429\Rightarrow P=\frac{703}{4}t+1429$

So, the equation would be:

$P=175.75t+1429$

Now, we predict the number of people of the town in 2014:

$P_{2014}=175.75(14)+1429\Rightarrow P_{2014}=3889.5$

$\Rightarrow P_{2014}\approx3890$

So, there will be approximately 3890 people of the town in 2014.

3 0

1 year ago

Wrich expreson is equivalent to 4(3-6).

Korvikt [17]

You haven’t provided any option, however I think I can still help.

You can solve 4(3-6). You first deal with he parenthesis, and get 4(-3). This means that your expression is equivalent to -12.

Hope this helps :)

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3 years ago

Find the equation that passes through points A and B

Irina18 [472]

Answer:

Step-by-step explanation:

A(1,7); B(-3,-1); slope m =(-1-7)/-3-1) = -8/-4 = 2

Equation of a line AB is

((y-y1) = m(x-x1)

y - 7 = 2(x-1)

y - 7 = 2x-2

y = 2x + 5

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3 years ago

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Mr. Black bought 2 magazines for $9.95 each and 1 book for $14.95. If the sales tax is 6%, what is the total cost of Mr. Black's

miss Akunina [59]

Answer:

$36.94

Step-by-step explanation:

Okay, so. This is what we do. There is two magazines and they cost 9.95 each multiply 9.95 times 2

9.95 x 2 = 19.90

Okay, then he buys a book for 14.95 we add 19.9. and 14.95

19.90 + 14.95 = 34.85

Then we have a sales tax of 6% we would multiply 34.85 time 6%

34.85 x 6% = 2.09

Then we would add. 34.85 + 2.09

34.85 + 2.09 = 36.94

Therefore your answer is $36.94

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3 years ago

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If 10 miles is about 16 kilometers and the distance between two towns is 45 miles ,use a ratio table to find the distance betwee

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10m : 16 km
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